Phase portraits of continuous piecewise linear differential systems with two zones [ Back ]

Date:
05.02.18   
Times:
15:30 to 16:30
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
Shimin Li
University:
Guangdong University of Finance and Economics

Abstract:

In this talk, we provide the classification of the phase portraits in the Poincare disc of all continuous piecewise linear slow-fast Liénard differential systems with two zones separated by a straight line. The sufficient and necessary conditions for existence and uniqueness of limit cycles are also given. At the end of this talk, we conclude the main differences of phase portraits between smooth and piecewise smooth differential systems. This is a joint work with Jaume Llibre.